diff --git a/package-lock.json b/package-lock.json
index d74c565..d95ffe6 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -9,7 +9,7 @@
       "version": "3.0.0",
       "license": "MIT",
       "devDependencies": {
-        "markdownlint-cli2": "^0.22.1"
+        "markdownlint-cli2": "^0.23.0"
       },
       "engines": {
         "node": ">=20.0.0",
@@ -435,16 +435,26 @@
       }
     },
     "node_modules/js-yaml": {
-      "version": "4.1.1",
-      "resolved": "https://registry.npmjs.org/js-yaml/-/js-yaml-4.1.1.tgz",
-      "integrity": "sha512-qQKT4zQxXl8lLwBtHMWwaTcGfFOZviOJet3Oy/xmGk2gZH677CJM9EvtfdSkgWcATZhj/55JZ0rmy3myCT5lsA==",
+      "version": "5.2.0",
+      "resolved": "https://registry.npmjs.org/js-yaml/-/js-yaml-5.2.0.tgz",
+      "integrity": "sha512-YeLUMlvR4Ou1B119LIaM0r65JvbOBooJDc9yEu0dClb/uSC5P4FrLU8OCCz/HXWvtPoIrR0dRzABTjo1sTN9Bw==",
       "dev": true,
+      "funding": [
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/puzrin"
+        },
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/nodeca"
+        }
+      ],
       "license": "MIT",
       "dependencies": {
         "argparse": "^2.0.1"
       },
       "bin": {
-        "js-yaml": "bin/js-yaml.js"
+        "js-yaml": "bin/js-yaml.mjs"
       }
     },
     "node_modules/jsonc-parser": {
@@ -465,9 +475,9 @@
       }
     },
     "node_modules/katex": {
-      "version": "0.16.45",
-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.45.tgz",
-      "integrity": "sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==",
+      "version": "0.16.47",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
+      "integrity": "sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==",
       "dev": true,
       "funding": [
         "https://opencollective.com/katex",
@@ -482,25 +492,45 @@
       }
     },
     "node_modules/linkify-it": {
-      "version": "5.0.0",
-      "resolved": "https://registry.npmjs.org/linkify-it/-/linkify-it-5.0.0.tgz",
-      "integrity": "sha512-5aHCbzQRADcdP+ATqnDuhhJ/MRIqDkZX5pyjFHRRysS8vZ5AbqGEoFIb6pYHPZ+L/OC2Lc+xT8uHVVR5CAK/wQ==",
+      "version": "5.0.1",
+      "resolved": "https://registry.npmjs.org/linkify-it/-/linkify-it-5.0.1.tgz",
+      "integrity": "sha512-wVoTjP4Q6R0NW5hiZkVJaFZPWgtXfoGF+6LucL3/FtiNjmcHhYjEr5f1Kqjirc1nBW07J/ZuRFumqr2oqccEWg==",
       "dev": true,
+      "funding": [
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/puzrin"
+        },
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/markdown-it"
+        }
+      ],
       "license": "MIT",
       "dependencies": {
         "uc.micro": "^2.0.0"
       }
     },
     "node_modules/markdown-it": {
-      "version": "14.1.1",
-      "resolved": "https://registry.npmjs.org/markdown-it/-/markdown-it-14.1.1.tgz",
-      "integrity": "sha512-BuU2qnTti9YKgK5N+IeMubp14ZUKUUw7yeJbkjtosvHiP0AZ5c8IAgEMk79D0eC8F23r4Ac/q8cAIFdm2FtyoA==",
+      "version": "14.2.0",
+      "resolved": "https://registry.npmjs.org/markdown-it/-/markdown-it-14.2.0.tgz",
+      "integrity": "sha512-1TGiQiJVRQ3NPmZH6sx5Cfnmg6GQm9jvC1ch4TK511NjSJvjzKLzn5pPfZRNZkRPZP0HqCioSndqH8v2nRaWVQ==",
       "dev": true,
+      "funding": [
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/puzrin"
+        },
+        {
+          "type": "github",
+          "url": "https://github.com/sponsors/markdown-it"
+        }
+      ],
       "license": "MIT",
       "dependencies": {
         "argparse": "^2.0.1",
         "entities": "^4.4.0",
-        "linkify-it": "^5.0.0",
+        "linkify-it": "^5.0.1",
         "mdurl": "^2.0.0",
         "punycode.js": "^2.3.1",
         "uc.micro": "^2.1.0"
@@ -510,9 +540,9 @@
       }
     },
     "node_modules/markdownlint": {
-      "version": "0.40.0",
-      "resolved": "https://registry.npmjs.org/markdownlint/-/markdownlint-0.40.0.tgz",
-      "integrity": "sha512-UKybllYNheWac61Ia7T6fzuQNDZimFIpCg2w6hHjgV1Qu0w1TV0LlSgryUGzM0bkKQCBhy2FDhEELB73Kb0kAg==",
+      "version": "0.41.0",
+      "resolved": "https://registry.npmjs.org/markdownlint/-/markdownlint-0.41.0.tgz",
+      "integrity": "sha512-xMUI3ChBuRuxuLF4ENvCZyS8z/+Jly1coUcZwErKLIB3sDj7ojpaTBa1e9YVPhSN4jGEIjYGQCldbTJS/hqS+A==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
@@ -524,37 +554,37 @@
         "micromark-extension-gfm-table": "2.1.1",
         "micromark-extension-math": "3.1.0",
         "micromark-util-types": "2.0.2",
-        "string-width": "8.1.0"
+        "string-width": "8.2.1"
       },
       "engines": {
-        "node": ">=20"
+        "node": ">=22"
       },
       "funding": {
         "url": "https://github.com/sponsors/DavidAnson"
       }
     },
     "node_modules/markdownlint-cli2": {
-      "version": "0.22.1",
-      "resolved": "https://registry.npmjs.org/markdownlint-cli2/-/markdownlint-cli2-0.22.1.tgz",
-      "integrity": "sha512-X14ZbytybDCXAViDmtN4DKLt9ZTrRn+oOrxTYlg3a65jS6QcYYbAkGPh/En2L/GDNbFYJ6lKaQSUNrrbN1bPrw==",
+      "version": "0.23.0",
+      "resolved": "https://registry.npmjs.org/markdownlint-cli2/-/markdownlint-cli2-0.23.0.tgz",
+      "integrity": "sha512-1nmgQmU/ZTMRVwYCDs7i1HI3zfBISnT2NNRv+9V01oOLZbAtqL+a7tldpPhBWBVBten3FqhMCGV6EUh9McqutQ==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
         "globby": "16.2.0",
-        "js-yaml": "4.1.1",
+        "js-yaml": "5.2.0",
         "jsonc-parser": "3.3.1",
         "jsonpointer": "5.0.1",
-        "markdown-it": "14.1.1",
-        "markdownlint": "0.40.0",
+        "markdown-it": "14.2.0",
+        "markdownlint": "0.41.0",
         "markdownlint-cli2-formatter-default": "0.0.6",
         "micromatch": "4.0.8",
-        "smol-toml": "1.6.1"
+        "smol-toml": "1.7.0"
       },
       "bin": {
         "markdownlint-cli2": "markdownlint-cli2-bin.mjs"
       },
       "engines": {
-        "node": ">=20"
+        "node": ">=22"
       },
       "funding": {
         "url": "https://github.com/sponsors/DavidAnson"
@@ -1260,9 +1290,9 @@
       }
     },
     "node_modules/smol-toml": {
-      "version": "1.6.1",
-      "resolved": "https://registry.npmjs.org/smol-toml/-/smol-toml-1.6.1.tgz",
-      "integrity": "sha512-dWUG8F5sIIARXih1DTaQAX4SsiTXhInKf1buxdY9DIg4ZYPZK5nGM1VRIYmEbDbsHt7USo99xSLFu5Q1IqTmsg==",
+      "version": "1.7.0",
+      "resolved": "https://registry.npmjs.org/smol-toml/-/smol-toml-1.7.0.tgz",
+      "integrity": "sha512-aqVvWoyO21L23mb+drl4RmMXbf6N7FdHjAhTRA9ZBL7apWBgfWC16KjrASI+1p9GAroljyMHj6fK67i0UiTNvQ==",
       "dev": true,
       "license": "BSD-3-Clause",
       "engines": {
@@ -1273,14 +1303,14 @@
       }
     },
     "node_modules/string-width": {
-      "version": "8.1.0",
-      "resolved": "https://registry.npmjs.org/string-width/-/string-width-8.1.0.tgz",
-      "integrity": "sha512-Kxl3KJGb/gxkaUMOjRsQ8IrXiGW75O4E3RPjFIINOVH8AMl2SQ/yWdTzWwF3FevIX9LcMAjJW+GRwAlAbTSXdg==",
+      "version": "8.2.1",
+      "resolved": "https://registry.npmjs.org/string-width/-/string-width-8.2.1.tgz",
+      "integrity": "sha512-IIaP0g3iy9Cyy18w3M9YcaDudujEAVHKt3a3QJg1+sr/oX96TbaGUubG0hJyCjCBThFH+tFpcIyoUHUn1ogaLA==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "get-east-asian-width": "^1.3.0",
-        "strip-ansi": "^7.1.0"
+        "get-east-asian-width": "^1.5.0",
+        "strip-ansi": "^7.1.2"
       },
       "engines": {
         "node": ">=20"
diff --git a/package.json b/package.json
index 5d01c84..46ab960 100644
--- a/package.json
+++ b/package.json
@@ -18,7 +18,7 @@
     "lint:fix": "markdownlint-cli2 --fix '**/*.md' '!node_modules/**' '!docs/node_modules/**' '!docs/.vitepress/dist/**' '!docs/.vitepress/cache/**' --config .markdownlint.json"
   },
   "devDependencies": {
-    "markdownlint-cli2": "^0.22.1"
+    "markdownlint-cli2": "^0.23.0"
   },
   "engines": {
     "node": ">=20.0.0",